Search a number
-
+
210203312 = 24113159653
BaseRepresentation
bin11001000011101…
…11001010110000
3112122112102201212
430201313022300
5412303001222
632505215252
75131461434
oct1441671260
9478472655
10210203312
11a8721950
125a491528
133471a577
141dcba9c4
15136c26e2
hexc8772b0

210203312 has 80 divisors (see below), whose sum is σ = 467112960. Its totient is φ = 90758400.

The previous prime is 210203311. The next prime is 210203359. The reversal of 210203312 is 213302012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (210203311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321578 + ... + 322230.

It is an arithmetic number, because the mean of its divisors is an integer number (5838912).

Almost surely, 2210203312 is an apocalyptic number.

210203312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233556480).

210203312 is an abundant number, since it is smaller than the sum of its proper divisors (256909648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210203312 is a wasteful number, since it uses less digits than its factorization.

210203312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 210203312 is about 14498.3899795805. The cubic root of 210203312 is about 594.5839541454.

Adding to 210203312 its reverse (213302012), we get a palindrome (423505324).

The spelling of 210203312 in words is "two hundred ten million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 44 59 62 88 118 124 176 236 248 341 472 496 649 653 682 944 1298 1306 1364 1829 2596 2612 2728 3658 5192 5224 5456 7183 7316 10384 10448 14366 14632 20119 20243 28732 29264 38527 40238 40486 57464 77054 80476 80972 114928 154108 160952 161944 222673 308216 321904 323888 423797 445346 616432 847594 890692 1194337 1695188 1781384 2388674 3390376 3562768 4777348 6780752 9554696 13137707 19109392 26275414 52550828 105101656 210203312